Applying a Texture on a ply mesh
I found a workaround:
Open the ply model im MeshLab.

Go to Filters-&gt;Textures-&gt;Convert PerVertex UV into PerWedges UV
(it may say it is missing the texture. If it does, copy the texture file into the
MeshLab program directory. May be a bug or I am too stupid :P )
Then go to Filters-&gt;Texture-&gt;Transfer: Texture to Vertex Color....
The standard values were enough for me.
Afterwards go to File-&gt;Export Mesh as... and export it as a *.ply. Make sure the vertex colors are checked in the following dialog and hit export.

In Blender import your freshly exported *.ply-file and change the view to &quot;Vertex Paint&quot;. Et voila.